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Unformatted text preview: y = 0, y = 4 xx 2 and y = 4x 2 . (Hint: It might help to sketch the region, which is roughly triangular with one corner at the point (1 , 3)). (a) ind the area of the region. (b) ind the volume of the solid obtained by rotating the region about the xaxis. (c) ind the volume of the solid obtained by rotating the region about the yaxis. 4. (10 points) ind the following numbers: (a) i x =1 x =1 x 3 r x 4 + 1 dx = (b) i x =5 x = e dx x ln( x ) = 5. (15 points) ind the following functions: (a) i cos(3 x ) (5 sin(3 x ) + 7) 2 dx = (b) i sin( e 2 x ) e 2 x dx = (c) d dx i 2 x 1 cos 2 ( t 4 ) dt =...
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This note was uploaded on 05/26/2011 for the course MATH 16B taught by Professor Sarason during the Spring '06 term at University of California, Berkeley.
 Spring '06
 Sarason
 Math, Calculus

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